On locally finite minimal non-solvable groups

Ahmet Arıkan; Sezgin Sezer; Howard Smith

Open Mathematics (2010)

  • Volume: 8, Issue: 2, page 266-273
  • ISSN: 2391-5455

Abstract

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In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.

How to cite

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Ahmet Arıkan, Sezgin Sezer, and Howard Smith. "On locally finite minimal non-solvable groups." Open Mathematics 8.2 (2010): 266-273. <http://eudml.org/doc/269748>.

@article{AhmetArıkan2010,
abstract = {In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.},
author = {Ahmet Arıkan, Sezgin Sezer, Howard Smith},
journal = {Open Mathematics},
keywords = {Minimal non-solvable groups; Locally nilpotent groups; Solvabilizer; Centralizer condition; locally finite -groups; minimal non-soluble groups},
language = {eng},
number = {2},
pages = {266-273},
title = {On locally finite minimal non-solvable groups},
url = {http://eudml.org/doc/269748},
volume = {8},
year = {2010},
}

TY - JOUR
AU - Ahmet Arıkan
AU - Sezgin Sezer
AU - Howard Smith
TI - On locally finite minimal non-solvable groups
JO - Open Mathematics
PY - 2010
VL - 8
IS - 2
SP - 266
EP - 273
AB - In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
LA - eng
KW - Minimal non-solvable groups; Locally nilpotent groups; Solvabilizer; Centralizer condition; locally finite -groups; minimal non-soluble groups
UR - http://eudml.org/doc/269748
ER -

References

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  1. [1] Arıkan A., Characterizations of minimal non-solvable Fittingp-groups, J. Group Theory, 11(1), 95–103, 2008 http://dx.doi.org/10.1515/JGT.2008.006 
  2. [2] Asar A. O., Locally nilpotent p-groups whose proper subgroups are hypercentral or nilpotent-by-Chernikov, J. London Math. Soc. (2), 61(2), 412–422, 2000 http://dx.doi.org/10.1112/S0024610799008479 Zbl0961.20031
  3. [3] Robinson D.J.S., A course in the theory of groups, Springer-Verlag, New York, Heidelberg, Berlin, 1982 Zbl0483.20001

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